Express each of the following odd numbers are the sum of 3 prime numbers

Mathematics

ScanSolve AI Answer

Step-by-step solution

4 steps

15:

  1. Identify three prime numbers that add up to 15.

    3+5+7=153 + 5 + 7 = 15

    Verify: 3 is prime, 5 is prime, 7 is prime.

    15=3+5+7\mathbf{15 = 3 + 5 + 7}

    21:

  2. Identify three prime numbers that add up to 21.

    7+7+7=217 + 7 + 7 = 21

    Verify: 7 is prime (used three times).

    21=7+7+7\mathbf{21 = 7 + 7 + 7}

    27:

  3. Identify three prime numbers that add up to 27.

    3+7+17=273 + 7 + 17 = 27

    Verify: 3 is prime, 7 is prime, 17 is prime.

    3+7=103 + 7 = 10 10+17=2710 + 17 = 27

    27=3+7+17\mathbf{27 = 3 + 7 + 17}

    33:

  4. Identify three prime numbers that add up to 33.

    11+11+11=3311 + 11 + 11 = 33

    Verify: 11 is prime (used three times).

    33=11+11+11\mathbf{33 = 11 + 11 + 11}

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